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Astron. Astrophys. 336, 782-785 (1998)
Research Note
On the calculation of the linear stability parameter of periodic orbits
C. Barberà 1, 2 and
E. Athanassoula 2
1 Dep. Informàtica. Escola Tècnica Superior
d'Enginyeries. Univertitat Rovira i Virgili, E-43006 Tarragona,
Spain
2 Observatoire de Marseille, 2 place Le Verrier, F-13248
Marseille Cedex 4, France
Received 2 March 1998 / Accepted 25 May 1998
Abstract
In this paper we propose an improved method for calculating Hénon's stability parameter, which is based on the differential of the Poincaré map using the first variational equation. We show that this method is very accurate and give some examples where it gives correct results, while the previous method could not cope.
Key words: methods:
analytical 
methods:
numerical
celestial mechanics, stellar
dynamics
galaxies: kinematics and dynamics
Send offprint requests to: C. Barberà
This article contains no SIMBAD objects.
Contents
- 1. Introduction
- 2. Method
- 2.1. Notation
- 2.2. Calculation of DP
- 2.2.1. Particular case
- 3. Application to an axisymmetric potential
- 4. Potential of a barred galaxy
- 5. Conclusions
- Acknowledgements
- References
© European Southern Observatory (ESO) 1998
Online publication: July 20, 1998
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